Trapping of three-dimensional Holstein polarons by various impurities

Abstract

We study the bound states of a three-dimensional Holstein polaron near various kinds of single impurities, using the momentum average approximation. We show that the electron-phonon coupling is responsible for a strong renormalization of the impurity potential, resulting in an effective potential with significant retardation effects, which describes essential physics ignored by "instantaneous" approximations. The accuracy of our approximation is gauged by comparison with results from Diagrammatic Monte Carlo for the case of an impurity that modifies the on-site energy of the electron. We also discuss impurities that modify the local strength of the electron-phonon coupling, as well as isotope substitutions that change both the electron-phonon coupling and the phonon frequency, and contrast and highlight the difference between these cases.

arXiv comment13 pages, 11 figures; Accepted for publication in Phys Rev B

References in corpus (25)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• Saturation of electrical resistivity
• Interplay of electron-lattice interactions and superconductivity in Bi2Sr2CaCu2O8+d
• The Holstein Polaron
• Dynamical mean-field theory of the small polaron
• Green's function of a dressed particle
• Sharp transition for single polarons in the one-dimensional Su-Schrieffer-Heeger model
• The Green's Function of the Holstein Polaron
• Two-dimensional Hubbard-Holstein bipolaron
• Quantum Monte Carlo and variational approaches to the Holstein model
• Systematic improvement of the Momentum Average approximation for the Green's function of a Holstein polaron
• Distribution of Localized States from Fine Analysis of Electron Spin Resonance Spectra in Organic Transistors
• Band dispersion and electronic lifetimes in crystalline organic semiconductors
• Polaron Transport in Organic Crystals: Temperature Tuning of Disorder Effects
• Polaron formation in the presence of Rashba spin-orbit coupling: implications for spintronics
• Momentum average approximation for models with electron-phonon coupling dependent on the phonon momentum
• Momentum average approximation for models with boson-modulated hopping: Role of closed loops in the dynamical generation of a finite quasiparticle mass
• Localization-delocalization transition of a polaron near an impurity
• Numerical study of the isotope effect in underdoped high-temperature superconductors: Calculation of the angle-resolved photoemission spectra
• Anderson localization of polaron states
• Statistical dynamical mean-field description of strongly correlated disordered electron-phonon systems
• Holstein polaron in the presence of disorder
• Anomalous oxygen isotope effect on the in-plane FIR conductivity of detwinned YBa2Cu3${}^{16,18}$O${}_{6.9}$
• Trapping of lattice polarons by impurities
• Dynamics of a single electron in the disordered Holstein model

Cited by in corpus (17)

• Localization of Large Polarons in the Disordered Holstein Model
• Charge Density Wave and Superconductivity in the Disordered Holstein Model
• Pekar's Ansatz and the Strong Coupling Problem in Polaron Theory
• Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra
• Strong interplay between electron-phonon interaction and disorder in low doped systems
• Properties and temperature evolution of the spectrum of localized quasi-particles interacting with polarization phonons in two models
• Inhomogeneous dynamical mean field theory of the small polaron problem
• Exciton dissociation mediated by phonons in organic photovoltaics
• A perturbational study of the lifetime of a Holstein polaron in the presence of weak disorder
• Anderson localization versus charge-density-wave formation in disordered electron systems
• Exact solution of electronic transport in semiconductors dominated by scattering on polaronic impurities
• Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature
• Generalized method of Feynman-Pines diagram technique in the theory of energy spectrum of two-level quasiparticle renormalized due to multi-phonon processes at cryogenic temperature
• Renormalized spectrum of quasiparticle in limited number of states, strongly interacting with two-mode polarization phonons at $T=0$ K
• Disorder Suppression of Charge Density Waves in the Honeycomb Holstein Model
• Binding carriers to a non-magnetic impurity in a two-dimensional square Ising antiferromagnet
• Theory of dispersive optical phonons in resonant inelastic x-ray scattering experiments